Finite Group Databasebeta

← Group #508191

Character table — Group #508191

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444444488888881616161616161616161616161616323232323232
order12222244444444444444422244444444444888888
χ111111111111111111111111111111111111111111
χ211111111111111111111111-1-11-1111-1-1-1-1-111-1-1-1-1
χ3111111111111111111111-1-111111-1-111111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-1111-1-11-111-111-1-1-1-111-1-1
χ611111111111111111-1-1-1-111-11-1-1-1111-1-111-1-1-1-111
χ711111111111111111-1-1-1-1-1-11-1-11-1-1-1-111-1-111-1-111
χ811111111111111111-1-1-1-1-1-1-11-1-1-1-1-11-1-1111111-1-1
χ9111111-1-1111111-1-1-111-1-11-111-1-111-1-11-11-11-11-11-1
χ10111111-1-1111111-1-1-111-1-11-1-1-1-1111-11-11-111-1-11-11
χ11111111-1-1111111-1-1-111-1-1-1111-1-11-11-11-11-1-11-11-11
χ12111111-1-1111111-1-1-111-1-1-11-1-1-111-111-11-11-111-11-1
χ13111111-1-1111111-1-1-1-1-1111-11-11-1-11-111-1-11-111-1-11
χ14111111-1-1111111-1-1-1-1-1111-1-1111-11-1-1-111-1-11-111-1
χ15111111-1-1111111-1-1-1-1-111-111-11-1-1-1111-1-111-1-111-1
χ16111111-1-1111111-1-1-1-1-111-11-1111-1-11-1-111-11-11-1-11
χ17222222222-2-22-2-22-2-20000000200000200-2-2000000
χ18222222222-2-22-2-22-2-20000000-200000-20022000000
χ1922222222-22-2-22-2-22-200000020020000-2-200000000
χ2022222222-22-2-22-2-22-2000000-200-200002200000000
χ2122222222-2-22-2-22-2-2222220000-20-20000000000000
χ2222222222-2-22-2-22-2-22-2-2-2-200002020000000000000
χ23222222-2-22-2-22-2-2-2220000000200000-200-22000000
χ24222222-2-22-2-22-2-2-2220000000-2000002002-2000000
χ25222222-2-2-22-2-22-22-22000000200-20000-2200000000
χ26222222-2-2-22-2-22-22-22000000-200200002-200000000
χ27222222-2-2-2-22-2-2222-222-2-2000020-20000000000000
χ28222222-2-2-2-22-2-2222-2-2-2220000-2020000000000000
χ294444-4-44-400000000000002200000-2-200000000000
χ304444-4-44-40000000000000-2-2000002200000000000
χ314444-4-4-4400000000000002-200000-2200000000000
χ324444-4-4-440000000000000-22000002-200000000000
χ334-4-444-400444-4-4-4000000000000000000000000000
χ344-4-444-4004-4-4-444000000000000000000000000000
χ354-4-444-400-44-44-44000000000000000000000000000
χ364-4-444-400-4-4444-4000000000000000000000000000
χ3788-8-800000000000004-40000000000000000000000
χ3888-8-80000000000000-440000000000000000000000
χ398-88-80000000000000004i−4i00000000000000000000
χ408-88-8000000000000000−4i4i00000000000000000000
χ418-8-88-8800000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).